IMO- Mathematics Olympiad Class 10: Questions 485 - 490 of 889

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Question number: 485

» Statistics & Probability

MCQ▾

Question

The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well-shuffled. One card is selected from the remaining cards. The probability of getting a ‘8’ of black color is ________

Choices

Choice (4) Response
a.

149

b.

449

c.

349

d.

249

Question number: 486

» Coordinate Geometry

MCQ▾

Question

Find the area of the quadrilateral, the coordinates of whose angular points taken in order are (12,6),(3,5),(9,2)and(10,11) .

Choices

Choice (4) Response
a.

712

b.

146

c.

115

d.

184

Question number: 487

» Statistics & Probability

MCQ▾

Question

The mean of 10 observations is 7.5 . if each observation is multiplied by 4, then what is the new mean?

Choices

Choice (4) Response
a.

50

b.

70

c.

30

d.

60

Question number: 488

» Statistics & Probability

MCQ▾

Question

The mean of 9 observations is 36. If the mean of the first 5 observations is 32 and that of the last 5 observations is 39, then the fifth observation is ________

Choices

Choice (4) Response
a.

37

b.

28

c.

31

d.

43

Question number: 489

» Coordinate Geometry

MCQ▾

Question

W(2,1),X(3,4)andY(2,3) is three vertices of the parallelogram WXYZ. The coordinates of fourth vertex is ________

Choices

Choice (4) Response
a.

(5,2)

b.

(3,2)

c.

(3,2)

d.

(2,3)

Question number: 490

» Coordinate Geometry

MCQ▾

Question

If the Points (a,1),(1,b)and(2,2) are collinear then which of the following is true?

Choices

Choice (4) Response
a.

b+aab=3

b.

ab+ab=3

c.

ba+ab=3

d.

abab=3

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